The digit in the unit's place of ${(1008)}^{786}$ is

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Solution

Last digit $= 8$
$∴ 786 = 196 \times 4 + 2$
Remainder $= 2$
$∴ 8^{2} = 64$
Hence last digit is 4.

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The digit in the unit's place of (1008)786 is

Last digit =8∴786=196×4+2Remainder =2∴82=64Hence last digit is 4.

The digit in the unit's place of ${(1008)}^{786}$ is

Last digit $= 8$
$∴ 786 = 196 \times 4 + 2$
Remainder $= 2$
$∴ 8^{2} = 64$
Hence last digit is 4.